Details

analyze2.2s

Algorithm

Search

True	Other	False	Iter
0%	99.5%	0.5%	0
0%	99.5%	0.5%	1
0%	99.5%	0.5%	2
0%	99.5%	0.5%	3
0%	99.5%	0.5%	4
0%	99.5%	0.5%	5
0%	99.5%	0.5%	6
0%	99.5%	0.5%	7
0%	99.5%	0.5%	8
0%	99.5%	0.5%	9
0%	99.5%	0.5%	10
0%	99.5%	0.5%	11
0%	99.5%	0.5%	12
0%	99.5%	0.5%	13
0%	99.5%	0.5%	14

sample81.0ms

Algorithm

intervals

Results

26.0ms	256×	body	80	valid
19.0ms	231×	body	80	invalid

simplify277.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (275.0ms)

Iter	Nodes	Cost
0	3114	29
1	3114	29

prune24.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.3b

Counts

2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* y (* z t)))
0.2b	(* j (* 27.0 k))
5.6b	(* x (* 18.0 (* y (* z t))))
5.9b	(* y (* z t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-l`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* 18.0 (* y (* z t)))
4.0ms	(* j (* 27.0 k))
8.0ms	(* x (* 18.0 (* y (* z t))))
5.0ms	(* y (* z t))

series26.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* 18.0 (* y (* z t)))
3.0ms	(* j (* 27.0 k))
11.0ms	(* x (* 18.0 (* y (* z t))))
6.0ms	(* y (* z t))

simplify51.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5545	670

prune139.0ms

Filtered

53 candidates to 93 candidates (-75.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	88	5	93
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	89	6	95

Merged error: 0.0b

Counts

95 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.3b	(* (* y (* z x)) 18.0)
4.6b	(* y (* z x))
5.5b	(* t (* (* y (* z x)) 18.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-l`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

4.0ms	(* j (* 27.0 k))
6.0ms	(* (* y (* z x)) 18.0)
5.0ms	(* y (* z x))
11.0ms	(* t (* (* y (* z x)) 18.0))

series26.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* j (* 27.0 k))
6.0ms	(* (* y (* z x)) 18.0)
5.0ms	(* y (* z x))
11.0ms	(* t (* (* y (* z x)) 18.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5015	677

prune118.0ms

Filtered

50 candidates to 93 candidates (-86.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	93	6	99

Merged error: 0.0b

Counts

99 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b c) (+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i)))))
0.2b	(* j (* 27.0 k))
5.7b	(* (* x 18.0) (* y (* z t)))
5.9b	(* y (* z t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`associate-l`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `*-commutative`
2×	`diff-log`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `associate--r+`

Counts

4 → 77

Calls

4 calls:

7.0ms	(- (* b c) (+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i)))))
4.0ms	(* j (* 27.0 k))
8.0ms	(* (* x 18.0) (* y (* z t)))
5.0ms	(* y (* z t))

series141.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(- (* b c) (+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i)))))
3.0ms	(* j (* 27.0 k))
10.0ms	(* (* x 18.0) (* y (* z t)))
6.0ms	(* y (* z t))

simplify43.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4979	915
1	4979	915

prune111.0ms

Filtered

49 candidates to 89 candidates (-81.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	89	6	95

Merged error: 0.0b

Counts

95 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b c) (+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i)))))
0.2b	(* j (* 27.0 k))
3.4b	(* (* x 18.0) (* z t))
7.2b	(* y (* (* x 18.0) (* z t)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`associate-l`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `*-commutative`
2×	`diff-log`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `associate--r+`

Counts

4 → 80

Calls

4 calls:

10.0ms	(- (* b c) (+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i)))))
8.0ms	(* j (* 27.0 k))
10.0ms	(* (* x 18.0) (* z t))
9.0ms	(* y (* (* x 18.0) (* z t)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(- (* b c) (+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i)))))
3.0ms	(* j (* 27.0 k))
6.0ms	(* (* x 18.0) (* z t))
10.0ms	(* y (* (* x 18.0) (* z t)))

simplify31.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4989	977
1	4989	977

prune286.0ms

Filtered

50 candidates to 92 candidates (-84.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	92	6	98

Merged error: 0.0b

Counts

98 → 6

regimes2.1s

Accuracy

87.1% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 5.7b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	330	164
1	330	164

end0.0ms

sample2.3s

Algorithm

intervals

Results

709.0ms	8177×	body	80	invalid
698.0ms	8000×	body	80	valid

Details

analyze2.2s

sample81.0ms

simplify277.0ms

prune24.0ms

localize22.0ms

rewrite27.0ms

series26.0ms

simplify51.0ms

prune139.0ms

localize21.0ms

rewrite28.0ms

series26.0ms

simplify44.0ms

prune118.0ms

localize23.0ms

rewrite27.0ms

series141.0ms

simplify43.0ms

prune111.0ms

localize24.0ms

rewrite39.0ms

series147.0ms

simplify31.0ms

prune286.0ms

regimes2.1s

bsearch1.0ms

simplify4.0ms

end0.0ms

sample2.3s

Profiling